Finding the Third Proportional to 19,869 and 42,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,869 : 42,106.50 = 42,106.50 : x
2. Step 2: Convert to fraction form
   19,869/42,106.50 = 42,106.50/x
3. Step 3: Cross multiply
   19,869x = 42,106.50 × 42,106.50
4. Step 4: Simplify right side
   19,869x = 1,772,957,342.25
5. Step 5: Solve for x
   x = 1,772,957,342.25/19,869
6. Step 6: Final answer
   x = 89,232.34